It is said that Archimedes discovered his principle during a bath while thinking about how he could determine if King Hiero’s crown was actually made of pure gold. While in the bathtub, he conceived the idea that he could determine the average density of an irregularly shaped object by weighing it in air and also in water. Archimedes utilized the following ideas to reach the conclusion that the crown is not made of gold EXCEPT:
It is said that Archimedes discovered his principle during a bath while thinking about how he could determine if King Hiero’s crown was actually made of pure gold. While in the bathtub, he conceived the idea that he could determine the average density of an irregularly shaped object by weighing it in air and also in water. Archimedes utilized the following ideas to reach the conclusion that the crown is not made of gold EXCEPT:
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It is said that Archimedes discovered his principle during a bath while thinking about how he could determine if King Hiero’s crown was actually made of pure gold. While in the bathtub, he conceived the idea that he could determine the average density of an irregularly shaped object by weighing it in air and also in water. Archimedes utilized the following ideas to reach the conclusion that the crown is not made of gold EXCEPT:
a. The buoyant force is equal to the difference in weight of the object in air and in water
b. The specific weight of the crown is equal to its weight in water divided by the crown's volume
c. The specific gravity of the crown is not equal to 19.3
d. The volume of the crown is equal to the buoyant force divided by the unit weight of water
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